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Which of the following waves has the highest value of peak factor?

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Answer & Explanation

Correct AnswerC. Half wave rectified sine wave

Quick Explanation

Peak factor (crest factor) is V_peak/V_rms. For a half-wave rectified sine, V_rms=V_m/2, so peak factor=2, which exceeds sine (√2), triangular (√3) and square (1).

Formula / Key Relation

Peak factor = V_peak / V_rms

Square = 1

Sine = √2 ≈ 1.414

Triangular = √3 ≈ 1.732

Half-wave rectified sine = 2

Detailed Explanation

Concept & Reasoning

Compare waveforms using the same definition rather than intuition about shape. A waveform with a relatively small rms value for a given peak has a larger crest factor. The half-wave rectified sine spends half the cycle at zero, lowering its rms relative to its peak.

How to Solve It in the Exam

Memorize crest factors: square 1, sine 1.414, triangle 1.732, half-wave sine 2.

Important Exam Point

Use rms definitions over the full waveform period.

Related Revision Path

This question sits in the revision path Signals and Systems → Waveform Parameters → Peak Factor .

Crest Factor of Common Waveforms explanatory diagram

Quick Trick

Memorize crest factors: square 1, sine 1.414, triangle 1.732, half-wave sine 2.

Common Mistake

Confusing form factor with peak factor.

Exam Tip

Use rms definitions over the full waveform period.

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Exam Path

Knowledge Path

Study concept · Crest Factor of Common Waveforms →Practice concept Practice topic

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